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Finding the Third Proportional to 298,017 and 449,761.50

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Solution

The third proportional to 298,017 and 449,761.50 is: 678,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,017 : 449,761.50 = 449,761.50 : x
  2. Step 2: Convert to fraction form
    298,017/449,761.50 = 449,761.50/x
  3. Step 3: Cross multiply
    298,017x = 449,761.50 × 449,761.50
  4. Step 4: Simplify right side
    298,017x = 202,285,406,882.25
  5. Step 5: Solve for x
    x = 202,285,406,882.25/298,017
  6. Step 6: Final answer
    x = 678,771.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.